Orthogonal rational functions and tridiagonal matrices

Adhemar Bultheel, Pablo González-Vera, Erik Hendriksen, Olav Njåstad

Type: Article

Publication Date: 2003-03-25

Citations: 21

DOI: https://doi.org/10.1016/s0377-0427(02)00602-7

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Locations

Journal of Computational and Applied Mathematics - View

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+	Rational Krylov Methods for Operator Functions	2010	Stefan Güttel
+	Recurrence relations for orthogonal rational functions	2012	Miroslav S. Pranić Lothar Reichel
+	Structured eigenvalue problems for rational gauss quadrature	2007	Dario Fasino Luca Gemignani
+	Orthogonal rational functions and quadrature on an interval	2003	Joris Van Deun Adhemar Bultheel
+ PDF Chat	Quadratures associated with pseudo-orthogonal rational functions on the real half line with poles in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si22.gif" display="inline" overflow="scroll"><mml:mrow><mml:mo>[</mml:mo><mml:mo>−</mml:mo><mml:mi>∞</mml:mi><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math>	2012	Adhemar Bultheel Pablo González-Vera Erik Hendriksen Olav Njåstad
+	The computation of orthogonal rational functions on an interval	2004	Joris Van Deun Adhemar Bultheel
+	Moment-based algorithms for computing orthogonal rational functions	2004	Joris Van Deun Adhemar Bultheel
+ PDF Chat	Asymptotics of Laurent Polynomials of Odd Degree Orthogonal with Respect to Varying Exponential Weights	2007	K. T-R McLaughlin A. H. Vartanian Xiaowen Zhou
+ PDF Chat	Asymptotics of Laurent polynomials of even degree orthogonal with respect to varying exponential weights	2006	K. T-R McLaughlin A. H. Vartanian Xiaowen Zhou
+	Eigenvalue problems to compute almost optimal points for rational interpolation with prescribed poles	2007	Joris Van Deun

Works Cited by This (8)

Action	Title	Year	Authors
+ PDF Chat	Orthogonal Rational Functions	1999	Adhemar Bultheel Pablo González-Vera Erik Hendriksen Olav Njåstad
+	A Favard theorem for orthogonal rational functions with poles on the unit circle	1997	Adhemar Bultheel Pablo González-Vera Erik Hendriksen Olav Njåstad
+	A favard theorem for rational functions	1989	Erik Hendriksen Olav Njåstad
+	Orthogonal Rational Functions with Poles on the Unit Circle	1994	Adhemar Bultheel Pablo González-Vera E. Hendriksen O. Njastad
+	Lagrange Interpolation and Quadrature Formula in Rational Systems	1998	G. Min
+	Orthogonal Polynomials	1972	Albert L. Rabenstein
+	Orthogonal polynomials	2022	T. W. Körner Terence Tao
+ PDF Chat	Quadrature formulas based on rational interpolation	1993	Walter Van Assche Ingrid Vanherwegen